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math.QA2013★ 19 cited
Koornwinder polynomials and the XXZ spin chain
Jasper Stokman, Bart Vlaar
Nonsymmetric Koornwinder polynomials are multivariable extensions of nonsymmetric Askey-Wilson polynomials. They naturally arise in the representation theory of (double) affine Hec…
math.QA2013★ 8 cited
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors
Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
Solutions to boundary quantum Knizhnik-Zamolodchikov equations are constructed as bilateral sums involving "off-shell" Bethe vectors in case the reflection matrix is diagonal and o…
math-ph2013
A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis)
Bart Vlaar
We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrödinger (QNLS) model, introduced by Komori and Hikami using representations of the degenerate a…